Problem 4.4a. Produce a BVP for the Laplace equation, describing the equilibrium heat distribution in a thin square block 0 ≤ 1, y ≤ L [m], with isolated square sides. Denote the temperature of every point of the block by u(x, y) [°C). The sides of the block are maintained at the following temperatures: the sides r=L, y = 0, and y L, at u= 0°C. The side r = 0, = at temperature u = {1/100 USL/2, [°C]. Provide a sketch. L/100-y/100, L/2

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Problem 4.4a. Produce a BVP for the Laplace equation, describing the equilibrium heat
distribution in a thin square block 0 ≤ 1, y ≤ L [m], with isolated square sides. Denote the
temperature of every point of the block by u(x, y) [°C). The sides of the block are maintained
at the following temperatures: the sides r=L, y = 0, and y L, at u= 0°C. The side r = 0,
at temperature u = {1/100 USL/2,
[°C].
Provide a sketch.
L/100-y/100, L/2<y <L.
Transcribed Image Text:Problem 4.4a. Produce a BVP for the Laplace equation, describing the equilibrium heat distribution in a thin square block 0 ≤ 1, y ≤ L [m], with isolated square sides. Denote the temperature of every point of the block by u(x, y) [°C). The sides of the block are maintained at the following temperatures: the sides r=L, y = 0, and y L, at u= 0°C. The side r = 0, at temperature u = {1/100 USL/2, [°C]. Provide a sketch. L/100-y/100, L/2<y <L.
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